30960131260320 has 240 divisors, whose sum is σ = 109276199397288. Its totient is φ = 8255072655360.

The previous prime is 30960131260259. The next prime is 30960131260351. The reversal of 30960131260320 is 2306213106903.

It is a happy number.

30960131260320 is a `hidden beast` number, since 3 + 0 + 9 + 6 + 0 + 13 + 12 + 603 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29877024816144 + 1083106444176 = 5465988^2 + 1040724^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 114703762 + ... + 114973358.

Almost surely, 2^{30960131260320} is an apocalyptic number.

30960131260320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30960131260320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54638099698644).

30960131260320 is an abundant number, since it is smaller than the sum of its proper divisors (78316068136968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30960131260320 is a wasteful number, since it uses less digits than its factorization.

30960131260320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278485 (or 278468 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 30960131260320 in words is "thirty trillion, nine hundred sixty billion, one hundred thirty-one million, two hundred sixty thousand, three hundred twenty".